Publications on Crystals, Soft Matter and Phase Transitions, by Charles Radin

  1. C. S. Gardner and C. Radin, The infinite volume ground state of the Lennard-Jones potential, J. Stat. Phys., 20(1979), 719-724. print.pdf; (higher resolution)
  2. G. Hamrick and C. Radin, The symmetry of ground states under perturbation, J. Stat. Phys., 21(1979), 601-607. print.pdf; (higher resolution)
  3. R. Heitmann and C. Radin, The ground state for sticky disks, J. Stat. Phys., 22(1980), 281-287. print.pdf; (higher resolution)
  4. B. Borden and C. Radin, The crystal structure of the noble gases, J. Chem. Phys., 75(1981), 2012-2013. print.pdf
  5. C. Radin, The ground state for soft disks, J. Stat. Phys., 26(1981), 365-373. print.pdf; (higher resolution)
  6. C. Radin, Crystalline symmetry and surface tension, Physica, 113A(1982), 338-342. print.pdf
  7. F. Nicolò and C. Radin, A first-order phase transition between crystal phases in the shift model, J. Stat. Phys., 28(1982), 473-478. print.pdf; (higher resolution)
  8. C. Radin and L. Schulman, Periodicity of classical ground states, Phys. Rev. Letts., 51(1983), 621-622. print.pdf
  9. C. Radin, Classical ground states in one dimension, J. Stat. Phys., 35(1984), 109-117. print.pdf; (higher resolution)
  10. C. Radin, Tiling, periodicity, and crystals, J. Math. Phys. 26(1985), 1342-1344. print.pdf
  11. C. Radin, Crystals and quasicrystals: a lattice gas model, Phys. Lett., 114A(1986), 381-383. print.pdf
  12. C. Radin, Crystals and quasicrystals: a continuum model, Comm. Math. Phys., 105(1986), 385-390. print.pdf
  13. C. Radin, Correlations in classical ground states, J. Stat. Phys., 43(1986), 707-712. print.pdf; (higher resolution)
  14. J. Miekisz and C. Radin, The unstable chemical structure of quasicrystalline alloys, Phys. Lett., 119A(1986), 133-134. print.pdf
  15. J. Miekisz and C. Radin, The third law of thermodynamics, Mod. Phys. Lett., B1(1987), 61-66. print.pdf; (higher resolution)
  16. C. Radin, Low temperature and the origin of crystalline symmetry, Intl. J. Mod. Phys., B1(1987), 1157-1191. print.pdf; (higher resolution)
  17. J. Miekisz and C. Radin, Why solids are not really crystalline, Phys. Rev., B39(1989), 1950-1952. print.pdf
  18. C. Radin, Ordering in lattice gases at low temperature, J. Phys., A22(1989), 317-319. print.pdf
  19. C. Gardner, J. Miekisz, C. Radin and A. Van Enter), Fractal ground state for an Ising model, J. Phys. A22(1989), L1019-L1023. print.pdf
  20. C. Radin, Disordered Ground States of Classical Lattice Models, Revs. Math. Phys. 3(1991), 125-135. print.pdf; (higher resolution)
  21. C. Radin, Global Order from Local Sources, Review-Expository Paper, Bull. Amer. Math. Soc. 25(1991), 335-364. print.pdf; (higher resolution)
  22. D. Berend and C. Radin, Are there chaotic tilings?, Comm. Math. Phys. 152(1993), 215-219. print.pdf; Original, longer version: preprint.pdf
  23. C. Radin, Quasicrystals and geometry, Notices Amer. Math. Soc. 43(1996), 416-421. print.ps;  print.pdf
  24. H. Koch, C. Radin and R. de la Llave, Aubry-Mather theory for functions on lattices, Discrete Contin. Dynam. Systems 3(1997), 135-151. preprint.ps;  preprint.pdf
  25. C. Radin, Rashomon: pavages et rotations, Gaz. Soc. Math. de France 79(1999), 49-57. print.pdf
  26. C. Radin, Statistical Symmetry, chapter in "Geometry at Work", MAA Notes volume 53 (Math. Assoc. Amer., Washington, DC, 2000). print.pdf; (higher resolution)
  27. C. Radin, Symmetries of quasicrystals, J. Stat. Phys. 95(1999), 827-833. print.ps;  print.pdf
  28. C. Radin, Existence of ground state configurations, Math. Phys. Electron. J. 10(2004), Paper 6. (electronic) print.ps;  print.pdf
  29. C. Radin, A review of two books on sphere packing, Amer. Math. Monthly 113(2006), 87-90. print.pdf
  30. C. Radin and L. Sadun, Structure of the hard sphere solid, Phys. Rev. Lett. 94(2005), 015502. print.ps;  print.pdf
  31. H. Koch, C. Radin and L. Sadun, Most stable structure for hard spheres, Phys. Rev. E 72(2005), 016708. print.ps;  print.pdf
  32. L. Bowen, R. Lyons, C. Radin and P. Winkler, Fluid-solid transition in a hard-core system, Phys. Rev. Lett. 96(2006), 025701. print.ps;  print.pdf
  33. L. Bowen, R. Lyons, C. Radin and P. Winkler, A solidification phenomenon in random packings, SIAM J. Math. Anal. 38(2006), 1075-1089. print.pdf
  34. M. Schröter, S. Nägle, C. Radin and H.L. Swinney, Phase transition in a static granular system, EPL 78 (2007), 44004. print.pdf
  35. C. Radin, Conference report II, Appl. Rheol. 17:3(2007), 166. print.pdf,
  36. C. Radin, Random close packing of granular matter, J. Stat. Phys. 131(2008), 567-573. print.pdf
  37. D. Aristoff and C. Radin, Random loose packing in granular matter, J. Stat. Phys., 135(2009), 1-23. print.pdf
  38. J. Bellissard, C. Radin and S. Shlosman, The characterization of ground states, J. Phys. A: Math. Theor. 43 (2010), 305001. print.pdf
  39. D. Aristoff and C. Radin, Random close packing in a granular model, J. Math. Phys. 51 (2010), 113302. print.pdf
  40. H. Koch and C. Radin, Modelling quasicrystals at positive temperature, J. Stat. Phys., 138(2010), 465-475. print.pdf
  41. D. Aristoff and C. Radin, Layering in crumpled sheets, EPL 91(2010), 56003. print.pdf
  42. D. Aristoff and C. Radin, Dilatancy transition in a granular model, J. Stat. Phys. 143(2011), 215-225. print.pdf
  43. T. Argo, M. Guild, P. Wilson, M. Schröter, C. Radin and H. Swinney, Sound speed in water-saturated glass beads as a function of frequency and porosity, J. Acoust. Soc. Am. 129(2011) EL101-EL107. print.pdf
  44. J.-F. Métayer, D.J. Suntrup III, C. Radin, H.L. Swinney and M. Schröter, Shearing of frictional sphere packings, EPL 93(2011), 64003 preprint.pdf
  45. D. Aristoff and C. Radin, First order phase transition of a long polymer chain, J. Phys. A: Math. Theor. 44(2011), 065004. print.pdf
  46. D. Aristoff and C. Radin, First order phase transition in a model of quasicrystals, J. Phys. A: Math. Theor. 44(2011), 255001. print.pdf
  47. D. Aristoff and C. Radin, Rigidity in solids, J. Stat. Phys. 144(2011) 1247-1255. print.pdf
  48. C. Radin and M. Yin, Phase transitions in exponential random graphs, Ann. Appl. Probab. (to appear). arXiv:1108.0649 preprint.pdf
  49. D. Aristoff and C. Radin, Emergent structures in large networks, J. Appl. Probab. (to appear). arXiv:1110.1912 preprint.pdf
  50. C. Radin, A revolutionary material, Notices Amer. Math. Soc. 60(2013) 310-315. print.pdf
  51. C. Radin and L. Sadun, A mean field analysis of the fluid/solid phase transition. arXiv:1301.1256 preprint.pdf
  52. C. Radin and L. Sadun, Singularities in the entropy of asymptotically large simple graphs. arXiv:1302.3531 preprint.pdf

WEB PAGES

Definitions of thermodynamic phases and phase transitions (AIM workshop, 2006; with M.E. Fisher)

Quasicrystals: solids with unusual symmetry (Scholarpedia)

Phase transitions in crumpled matter (IOP Insights)
VIDEOS

Lecture to undergraduates (2010): "Water vs. ice"

Lecture at Vanderbilt conference (2010): "The Stability of Optimizers of Energy or Density"
BOOK

C. Radin, Miles of Tiles, Student Mathematical Library, Vol 1 (Amer. Math. Soc., Providence, 1999).